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The value of int1^a[x]f^(prime)(x)dx ,wh...

The value of `int_1^a[x]f^(prime)(x)dx `,where `a >1`, and `[x]` denotes the greatest integer not exceeding x, is
(A) `af(a)-{f(1)f(2)+.....+f([a])}`
(B) `[a]f(a)-{f(1)+f(2)+......+f([a])}`
(C) `[a]f(a)-{f(1)+f(2)+.......+fA}`
(D) `af([a])-{f(1)+f(2)+......+fA}`

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